Tyap - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Tyap Wikipedia data. We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.
π Repository Contents
Models & Assets
- Tokenizers (8k, 16k, 32k, 64k)
- N-gram models (2, 3, 4, 5-gram)
- Markov chains (context of 1, 2, 3, 4 and 5)
- Subword N-gram and Markov chains
- Embeddings in various sizes and dimensions (aligned and unaligned)
- Language Vocabulary
- Language Statistics
Analysis and Evaluation
- 1. Tokenizer Evaluation
- 2. N-gram Model Evaluation
- 3. Markov Chain Evaluation
- 4. Vocabulary Analysis
- 5. Word Embeddings Evaluation
- 6. Morphological Analysis (Experimental)
- 7. Summary & Recommendations
- Metrics Glossary
- Visualizations Index
1. Tokenizer Evaluation
Results
| Vocab Size | Compression | Avg Token Len | UNK Rate | Total Tokens |
|---|---|---|---|---|
| 8k | 4.149x | 4.15 | 0.1551% | 192,111 |
| 16k | 4.452x | 4.46 | 0.1664% | 179,058 |
| 32k | 4.706x | 4.71 | 0.1760% | 169,365 |
| 64k | 4.834x π | 4.84 | 0.1807% | 164,911 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Atanii yet mam hwa kunin kyak avwou mun tsatsak ladi mang talata . Wikimedians Z...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βat ani i βyet βmam βhwa βku nin βkyak βavwo ... (+11 more) |
21 |
| 16k | βatanii βyet βmam βhwa βku nin βkyak βavwou βmun βtsatsak ... (+8 more) |
18 |
| 32k | βatanii βyet βmam βhwa βkunin βkyak βavwou βmun βtsatsak βladi ... (+6 more) |
16 |
| 64k | βatanii βyet βmam βhwa βkunin βkyak βavwou βmun βtsatsak βladi ... (+6 more) |
16 |
Sample 2: Zong (Γ‘Μ± ka ndyuut zwong aΜ±ni) yet jen nang aΜ±yin nswan aΜ±fa aΜ±khwot diΜ± miΜ±n ya...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βzong β( Γ‘Μ± βka βndyuut βz wong βaΜ±ni ) βyet ... (+19 more) |
29 |
| 16k | βzong β( Γ‘Μ± βka βndyuut βz wong βaΜ±ni ) βyet ... (+19 more) |
29 |
| 32k | βzong β( Γ‘Μ± βka βndyuut βz wong βaΜ±ni ) βyet ... (+19 more) |
29 |
| 64k | βzong β( Γ‘Μ± βka βndyuut βzwong βaΜ±ni ) βyet βjen ... (+18 more) |
28 |
Sample 3: CiΜ±ncai yet aΜ±cyuang gaΜ±swan baΜ± ya kaΜ±tako aΜ±ni. YaΜ±fang
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βc iΜ±n c ai βyet βaΜ±cyuang βgaΜ±s wan βbaΜ± βya ... (+5 more) |
15 |
| 16k | βc iΜ±n c ai βyet βaΜ±cyuang βgaΜ±swan βbaΜ± βya βkaΜ±tak ... (+4 more) |
14 |
| 32k | βciΜ±ncai βyet βaΜ±cyuang βgaΜ±swan βbaΜ± βya βkaΜ±tako βaΜ±ni . βyaΜ±fang |
10 |
| 64k | βciΜ±ncai βyet βaΜ±cyuang βgaΜ±swan βbaΜ± βya βkaΜ±tako βaΜ±ni . βyaΜ±fang |
10 |
Key Findings
- Best Compression: 64k achieves 4.834x compression
- Lowest UNK Rate: 8k with 0.1551% unknown tokens
- Trade-off: Larger vocabularies improve compression but increase model size
- Recommendation: 32k vocabulary provides optimal balance for production use
2. N-gram Model Evaluation
Results
| N-gram | Variant | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage |
|---|---|---|---|---|---|---|
| 2-gram | Word | 2,665 | 11.38 | 5,715 | 23.5% | 60.8% |
| 2-gram | Subword | 265 π | 8.05 | 1,919 | 66.6% | 99.3% |
| 3-gram | Word | 3,873 | 11.92 | 6,453 | 18.1% | 48.8% |
| 3-gram | Subword | 1,877 | 10.87 | 12,850 | 30.0% | 74.6% |
| 4-gram | Word | 6,271 | 12.61 | 8,735 | 12.5% | 36.0% |
| 4-gram | Subword | 8,185 | 13.00 | 52,350 | 17.1% | 47.5% |
| 5-gram | Word | 3,808 | 11.89 | 4,846 | 13.7% | 41.8% |
| 5-gram | Subword | 20,242 | 14.31 | 96,936 | 11.3% | 34.0% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | nang Γ‘Μ± |
1,002 |
| 2 | diΜ± fam |
924 |
| 3 | Γ‘Μ± ku |
675 |
| 4 | aΜ± siΜ± |
657 |
| 5 | ku yet |
653 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | diΜ± fam aΜ±tak |
234 |
| 2 | nang Γ‘Μ± ku |
230 |
| 3 | diΜ± fam aΜ±za |
209 |
| 4 | nang Γ‘Μ± ngyei |
200 |
| 5 | yaΜ±fang aΜ±kaΜ±fwuop nta |
196 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | zwat swak maΜ±ng sweang |
86 |
| 2 | kyiak neet maΜ± aΜ±lyiaΜ± |
82 |
| 3 | wiki bootcamp season 1 |
80 |
| 4 | diΜ± fam aΜ±za hu |
72 |
| 5 | diΜ± fam aΜ±tyin hu |
70 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | neet maΜ± aΜ±lyiaΜ± baΜ±ng siΜ± |
62 |
| 2 | Γ‘Μ± lyen maΜ±ng aΜ±lyoot aΜ±gwomnaΜ±ti |
62 |
| 3 | kyiak neet maΜ± aΜ±lyiaΜ± baΜ±ng |
59 |
| 4 | in tyap romanian and english |
58 |
| 5 | together in tyap romanian and |
58 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ aΜ± |
38,395 |
| 2 | n g |
35,424 |
| 3 | a n |
31,339 |
| 4 | t _ |
27,103 |
| 5 | a _ |
26,601 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | n g _ |
26,180 |
| 2 | a n g |
17,304 |
| 3 | e t _ |
10,561 |
| 4 | _ m aΜ± |
8,983 |
| 5 | a t _ |
7,766 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a n g _ |
13,963 |
| 2 | y i aΜ± _ |
6,492 |
| 3 | aΜ± n g _ |
6,360 |
| 4 | _ m aΜ± n |
6,098 |
| 5 | m aΜ± n g |
5,713 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | m aΜ± n g _ |
5,692 |
| 2 | _ m aΜ± n g |
5,676 |
| 3 | _ y e t _ |
4,648 |
| 4 | n a n g _ |
3,924 |
| 5 | b y i n _ |
3,628 |
Key Findings
- Best Perplexity: 2-gram (subword) with 265
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~34% of corpus
- Recommendation: 4-gram or 5-gram for best predictive performance
3. Markov Chain Evaluation
Results
| Context | Variant | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability |
|---|---|---|---|---|---|---|
| 1 | Word | 0.7557 | 1.688 | 4.71 | 28,147 | 24.4% |
| 1 | Subword | 0.9793 | 1.972 | 6.49 | 911 | 2.1% |
| 2 | Word | 0.2473 | 1.187 | 1.54 | 132,079 | 75.3% |
| 2 | Subword | 0.8642 | 1.820 | 4.83 | 5,908 | 13.6% |
| 3 | Word | 0.0833 | 1.059 | 1.13 | 202,426 | 91.7% |
| 3 | Subword | 0.7719 | 1.708 | 3.49 | 28,551 | 22.8% |
| 4 | Word | 0.0300 π | 1.021 | 1.04 | 228,145 | 97.0% |
| 4 | Subword | 0.5638 | 1.478 | 2.31 | 99,668 | 43.6% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
maΜ±ng aΜ±lyoot aΜ±lizaΜ±nda miΜ± aΜ±bibyiaΜ± njen nang siΜ±tet baΜ±yelsa shyiaΜ± cet aΜ±gwaza aΜ±nyiung diΜ± fam...ku nihon shong kaswuo aΜ±ni nggu aΜ±tyoli saΜ±mwila aΜ±cyiaΜ± shong mediterranean baΜ± nyiaΜ± aΜ±yaafim ku s...yet aΜ±tyulyuut maΜ±ng aΜ±za jenshyung siΜ±tet kaΜ±duna aΜ±tak shong www stoa org dead keys in the
Context Size 2:
nang Γ‘Μ± ku mbwuo lyulyoot aΜ±ni niΜ±nia yet guadalajara monterrey puebla toluca tijuana ciudad juΓ‘rez ...diΜ± fam aΜ±byin jenshyung aΜ±siya aΜ±saΜ±khwot nhu na aΜ±ni tamah siΜ± ci aΜ±pyie ngu nang kham nsaaiΓ‘Μ± ku miΜ±n aΜ± khwuat aΜ±nietcaΜ±tshot aΜ±niet khwo mba tai aΜ± ku ngyei gini potuga aΜ±ni maΜ±nang
Context Size 3:
diΜ± fam aΜ±tak hu aΜ±za afrika siΜ± myian aΜ±ja aΜ±wot diΜ± fam aΜ±tak siΜ±tet kaΜ±duna naijeriya aΜ± nyiaΜ±nang Γ‘Μ± ku byin nggu aΜ±taliΜ±gan aΜ±gaΜ±mi tshshekari was born in taligan magamia zangon kataf to paren...diΜ± fam aΜ±za hu naat kyai aΜ±saΜ±khwot caina aΜ±tak hu yet kyai aΜ±saΜ±khwot ku shyiaΜ± diΜ± ngaan fam
Context Size 4:
zwat swak maΜ±ng sweang yet aΜ±tyukwai nfwuo Γ‘Μ±niet naijeriya wa aΜ±nyan wa yet byiek aΜ±kwak aΜ±son Γ‘Μ±gw...kyiak neet maΜ± aΜ±lyiaΜ± baΜ±ng siΜ± tat aΜ± ku baΜ±ng cucuk aΜ±gwomnaΜ±ti jhyang diΜ±n jen jiΜ± ku swak aΜ±nidiΜ± fam aΜ±za hu aΜ±fganistan diΜ± fam aΜ±tyin hu kaΜ± kaΜ±u diΜ± siΜ±sak nang lili aΜ±byin ka yet aΜ±ni
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_Γ‘Μ±_fabefandera_eanwu.,_hwunre,_mngbamang_miΜ±ta_Γ‘Μ±k
Context Size 2:
_aΜ±fangbaΜ±_ny-fwuo_ng_hi_biya_bya_siΜ±ang_Γ‘Μ±ni._yaΜ±u_vin_
Context Size 3:
ng_aΜ±yaaethe_part_oangkaΜ±i_aΜ±khai_ba_,_et_aΜ±lyen_shong_aΜ±ku
Context Size 4:
ang_gini_kaΜ±sitibin_yiaΜ±_aΜ±yaapiΜ±rotidia._aΜ±ng_siΜ±_swak_miΜ±_suso
Key Findings
- Best Predictability: Context-4 (word) with 97.0% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (99,668 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 11,223 |
| Total Tokens | 236,752 |
| Mean Frequency | 21.10 |
| Median Frequency | 3 |
| Frequency Std Dev | 149.81 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | maΜ±ng | 5,701 |
| 2 | ku | 5,107 |
| 3 | yet | 4,705 |
| 4 | siΜ± | 3,684 |
| 5 | aΜ±ni | 3,615 |
| 6 | hu | 3,553 |
| 7 | Γ‘Μ± | 3,391 |
| 8 | nang | 3,386 |
| 9 | aΜ± | 3,096 |
| 10 | ka | 2,820 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | tockus | 2 |
| 2 | erythrorhynchus | 2 |
| 3 | atu | 2 |
| 4 | luwut | 2 |
| 5 | akad | 2 |
| 6 | Ψ£Ψ¨Ω | 2 |
| 7 | ΩΩΨ§Ψ³ | 2 |
| 8 | nuwΔs | 2 |
| 9 | aΜ±tyokaΜ±u | 2 |
| 10 | basiΜ±liΜ±kata | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.1596 |
| RΒ² (Goodness of Fit) | 0.992895 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 48.0% |
| Top 1,000 | 78.4% |
| Top 5,000 | 93.6% |
| Top 10,000 | 99.0% |
Key Findings
- Zipf Compliance: RΒ²=0.9929 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 48.0% of corpus
- Long Tail: 1,223 words needed for remaining 1.0% coverage
5. Word Embeddings Evaluation
5.1 Cross-Lingual Alignment
5.2 Model Comparison
| Model | Dimension | Isotropy | Semantic Density | Alignment R@1 | Alignment R@10 |
|---|---|---|---|---|---|
| mono_32d | 32 | 0.3873 π | 0.4467 | N/A | N/A |
| mono_64d | 64 | 0.0916 | 0.4260 | N/A | N/A |
| mono_128d | 128 | 0.0123 | 0.4367 | N/A | N/A |
| aligned_32d | 32 | 0.3873 | 0.4319 | 0.0240 | 0.1440 |
| aligned_64d | 64 | 0.0916 | 0.4421 | 0.0200 | 0.1440 |
| aligned_128d | 128 | 0.0123 | 0.4376 | 0.0160 | 0.1340 |
Key Findings
- Best Isotropy: mono_32d with 0.3873 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.4368. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 2.4% R@1 in cross-lingual retrieval.
- Recommendation: 128d aligned for best cross-lingual performance
6. Morphological Analysis (Experimental)
This section presents an automated morphological analysis derived from the statistical divergence between word-level and subword-level models. By analyzing where subword predictability spikes and where word-level coverage fails, we can infer linguistic structures without supervised data.
6.1 Productivity & Complexity
| Metric | Value | Interpretation | Recommendation |
|---|---|---|---|
| Productivity Index | 5.000 | High morphological productivity | Reliable analysis |
| Idiomaticity Gap | 0.229 | High formulaic/idiomatic content | - |
6.2 Affix Inventory (Productive Units)
These are the most productive prefixes and suffixes identified by sampling the vocabulary for global substitutability patterns. A unit is considered an affix if stripping it leaves a valid stem that appears in other contexts.
Productive Prefixes
| Prefix | Examples |
|---|---|
-a |
aΜ±tyuweang, aΜ±kaΜ±satyok, american |
-n |
nia, ning, naΜ |
-s |
sardi, songs, swot |
-m |
maΜ±m, maΜ±liΜ±daviya, mabyin |
-k |
kwaimam, kpantyin, kwom |
-b |
bendel, bu, buzΔu |
-t |
tyantung, taΜ±lyiΜ±riΜ±p, tunis |
-ma |
maΜ±m, maΜ±liΜ±daviya, mabyin |
Productive Suffixes
| Suffix | Examples |
|---|---|
-a |
nia, ania, maΜ±liΜ±daviya |
-n |
american, aΜ±yangkaΜ±nan, rΓ©nmΓn |
-ng |
gaΜ±swΓΊong, aΜ±tyuweang, tyantung |
-t |
lilyuut, felt, list |
-g |
gaΜ±swΓΊong, aΜ±tyuweang, tyantung |
-i |
yhui, aΜ±yaazoni, aΜ±vwui |
-s |
prayers, songs, franΓ§ais |
-e |
fare, harare, senate |
6.3 Bound Stems (Lexical Roots)
Bound stems are high-frequency subword units that are semantically cohesive but rarely appear as standalone words. These often correspond to the 'core' of a word that requires inflection or derivation to be valid.
| Stem | Cohesion | Substitutability | Examples |
|---|---|---|---|
yang |
1.38x | 56 contexts | gyang, lyang, jyang |
wang |
1.62x | 25 contexts | gwang, nwang, swang |
eang |
1.59x | 26 contexts | keang, weang, teang |
tion |
1.88x | 13 contexts | action, nation, notion |
wuan |
1.50x | 23 contexts | swuan, fwuan, vwuan |
yiak |
1.67x | 16 contexts | tyiak, kyiak, byiak |
yiat |
1.56x | 18 contexts | tyiat, lyiat, kyiat |
wuon |
1.51x | 19 contexts | fwuon, vwuon, bwuon |
hyan |
1.69x | 11 contexts | nhyan, ghyang, hihyan |
nshy |
1.33x | 14 contexts | nshye, nshya, nshyie |
kean |
1.50x | 9 contexts | keang, keana, aΜ±kean |
nyiu |
1.48x | 9 contexts | aΜ±nyiu, nyiung, anyiuk |
6.4 Affix Compatibility (Co-occurrence)
This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology.
| Prefix | Suffix | Frequency | Examples |
|---|---|---|---|
-a |
-g |
194 words | anbang, aΜ±tyubwuanng |
-a |
-ng |
193 words | anbang, aΜ±tyubwuanng |
-a |
-t |
166 words | aΜ±gwut, aΜ±tat |
-a |
-i |
144 words | aΜ±taΜ±nii, agwii |
-a |
-a |
137 words | alata, aΜ±jiya |
-a |
-n |
131 words | afwun, aΜ±zabyin |
-a |
-k |
104 words | acucuk, akanok |
-a |
-an |
53 words | ashan, american |
-c |
-s |
41 words | collins, caucasus |
-k |
-a |
41 words | kola, kiΜ±risiΜ±ta |
6.5 Recursive Morpheme Segmentation
Using Recursive Hierarchical Substitutability, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., prefix-prefix-root-suffix).
| Word | Suggested Split | Confidence | Stem |
|---|---|---|---|
| marketing | market-i-ng |
7.5 | i |
| kuzangmam | kuzang-m-am |
7.5 | m |
| aΜ±kaΜ±safang | aΜ±kaΜ±saf-a-ng |
7.5 | a |
| kyangtutu | kyangtu-t-u |
7.5 | t |
| kaΜ±zaktan | kaΜ±zak-t-an |
7.5 | t |
| Γ‘Μ±nietnzop | Γ‘Μ±nietnz-o-p |
7.5 | o |
| christians | christi-an-s |
7.5 | an |
| atakjenshyung | at-ak-jenshyung |
7.5 | jenshyung |
| nvwuomaat | nvwuom-a-at |
7.5 | a |
| institution | institut-i-on |
7.5 | i |
| aΜ±tyulyiai | aΜ±tyuly-i-ai |
7.5 | i |
| nggwoneam | nggwon-e-am |
7.5 | e |
| aΜ±nyanyan | aΜ±nyan-ya-n |
6.0 | aΜ±nyan |
| africaines | africa-in-es |
6.0 | africa |
| aΜ±kwokwak | aΜ±kwok-wa-k |
6.0 | aΜ±kwok |
6.6 Linguistic Interpretation
Automated Insight: The language Tyap shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
7. Summary & Recommendations
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (4.83x) |
| N-gram | 2-gram | Lowest perplexity (265) |
| Markov | Context-4 | Highest predictability (97.0%) |
| Embeddings | 100d | Balanced semantic capture and isotropy |
Appendix: Metrics Glossary & Interpretation Guide
This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.
Tokenizer Metrics
Compression Ratio
Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text.
Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average.
What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.
Average Token Length (Fertility)
Definition: Mean number of characters per token produced by the tokenizer.
Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length.
What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.
Unknown Token Rate (OOV Rate)
Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent.
Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences.
What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.
N-gram Model Metrics
Perplexity
Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction.
Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options.
What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.
Entropy
Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy.
Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character.
What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.
Coverage (Top-K)
Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams.
Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage.
What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.
Markov Chain Metrics
Average Entropy
Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction.
Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations).
What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.
Branching Factor
Definition: Average number of unique next tokens observed for each context.
Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive).
What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.
Predictability
Definition: Derived metric: (1 - normalized_entropy) Γ 100%. Indicates how deterministic the model's predictions are.
Intuition: 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes.
What to seek: Higher predictability for text generation quality, but too high (>98%) may produce repetitive output.
Vocabulary & Zipf's Law Metrics
Zipf's Coefficient
Definition: The slope of the log-log plot of word frequency vs. rank. Zipf's law predicts this should be approximately -1.
Intuition: A coefficient near -1 indicates the corpus follows natural language patterns where a few words are very common and most words are rare.
What to seek: Values between -0.8 and -1.2 indicate healthy natural language distribution. Deviations may suggest domain-specific or artificial text.
RΒ² (Coefficient of Determination)
Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.
Intuition: RΒ² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.
What to seek: RΒ² > 0.95 is excellent; > 0.99 indicates near-perfect Zipf adherence typical of large natural corpora.
Vocabulary Coverage
Definition: Cumulative percentage of corpus tokens accounted for by the top N words.
Intuition: Shows how concentrated word usage is. If top-100 words cover 50% of text, the corpus relies heavily on common words.
What to seek: Top-100 covering 30-50% is typical. Higher coverage indicates more repetitive text; lower suggests richer vocabulary.
Word Embedding Metrics
Isotropy
Definition: Measures how uniformly distributed vectors are in the embedding space. Computed as the ratio of minimum to maximum singular values.
Intuition: High isotropy (near 1.0) means vectors spread evenly in all directions; low isotropy means vectors cluster in certain directions, reducing expressiveness.
What to seek: Higher isotropy generally indicates better-quality embeddings. Values > 0.1 are reasonable; > 0.3 is good. Lower-dimensional embeddings tend to have higher isotropy.
Average Norm
Definition: Mean magnitude (L2 norm) of word vectors in the embedding space.
Intuition: Indicates the typical "length" of vectors. Consistent norms suggest stable training; high variance may indicate some words are undertrained.
What to seek: Relatively consistent norms across models. The absolute value matters less than consistency (low std deviation).
Cosine Similarity
Definition: Measures angular similarity between vectors, ranging from -1 (opposite) to 1 (identical direction).
Intuition: Words with similar meanings should have high cosine similarity. This is the standard metric for semantic relatedness in embeddings.
What to seek: Semantically related words should score > 0.5; unrelated words should be near 0. Synonyms often score > 0.7.
t-SNE Visualization
Definition: t-Distributed Stochastic Neighbor Embedding - a dimensionality reduction technique that preserves local structure for visualization.
Intuition: Clusters in t-SNE plots indicate groups of semantically related words. Spread indicates vocabulary diversity; tight clusters suggest semantic coherence.
What to seek: Meaningful clusters (e.g., numbers together, verbs together). Avoid over-interpreting distances - t-SNE preserves local, not global, structure.
General Interpretation Guidelines
- Compare within model families: Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer).
- Consider trade-offs: Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate).
- Context matters: Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification.
- Corpus influence: All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature.
- Language-specific patterns: Morphologically rich languages (like Arabic) may show different optimal ranges than analytic languages.
Visualizations Index
| Visualization | Description |
|---|---|
| Tokenizer Compression | Compression ratios by vocabulary size |
| Tokenizer Fertility | Average token length by vocabulary |
| Tokenizer OOV | Unknown token rates |
| Tokenizer Total Tokens | Total tokens by vocabulary |
| N-gram Perplexity | Perplexity by n-gram size |
| N-gram Entropy | Entropy by n-gram size |
| N-gram Coverage | Top pattern coverage |
| N-gram Unique | Unique n-gram counts |
| Markov Entropy | Entropy by context size |
| Markov Branching | Branching factor by context |
| Markov Contexts | Unique context counts |
| Zipf's Law | Frequency-rank distribution with fit |
| Vocab Frequency | Word frequency distribution |
| Top 20 Words | Most frequent words |
| Vocab Coverage | Cumulative coverage curve |
| Embedding Isotropy | Vector space uniformity |
| Embedding Norms | Vector magnitude distribution |
| Embedding Similarity | Word similarity heatmap |
| Nearest Neighbors | Similar words for key terms |
| t-SNE Words | 2D word embedding visualization |
| t-SNE Sentences | 2D sentence embedding visualization |
| Position Encoding | Encoding method comparison |
| Model Sizes | Storage requirements |
| Performance Dashboard | Comprehensive performance overview |
About This Project
Data Source
Models trained on wikipedia-monthly - a monthly snapshot of Wikipedia articles across 300+ languages.
Project
A project by Wikilangs - Open-source NLP models for every Wikipedia language.
Maintainer
Citation
If you use these models in your research, please cite:
@misc{wikilangs2025,
author = {Kamali, Omar},
title = {Wikilangs: Open NLP Models for Wikipedia Languages},
year = {2025},
doi = {10.5281/zenodo.18073153},
publisher = {Zenodo},
url = {https://huggingface.co/wikilangs}
institution = {Omneity Labs}
}
License
MIT License - Free for academic and commercial use.
Links
- π Website: wikilangs.org
- π€ Models: huggingface.co/wikilangs
- π Data: wikipedia-monthly
- π€ Author: Omar Kamali
- π€ Sponsor: Featherless AI
Generated by Wikilangs Models Pipeline
Report Date: 2026-01-10 07:27:32



















